15.18 Gourmet Cooking Two gourmets, A and B, rated 22 meals on a scale of 1 to 10. The data are shown in the table. Do the data provide sufficient evidence to indicate that one of the gourmets tends to give higher ratings than the other? Test by using the sign test with a value of a near 0.05.

a. Use the binomial tables in Appendix I to find the exact rejection region for the test.

b. Use the large-sample z statistic. (NOTE: Although the large-sample approximation is suggested for n 25, it works fairly well for values of n as small as 15.)

c. Compare the results of parts a and b.

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Meal A B Meal A B 1 6 8 12 8 5 2 4 5 13 4 2 3 7 4 14 3 3 4 8 7 15 6 8 5 2 3 16 9 10 6 7 4 17 9 8 7 9 9 18 4 6 8 7 8 19 4 3 9 2 5 20 5 4 10 4 3 21 3 2 11 6 9 22 5 3